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Control of Chaotic Systems Using Fuzzy Model-Based Regulators

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New Directions in Rough Sets, Data Mining, and Granular-Soft Computing (RSFDGrC 1999)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 1711))

Abstract

This paper presents a new approach to controlling chaotic systems using fuzzy regulators. The relaxed stability conditions and LMI (Linear Matrix Inequalities) based designs for a fuzzy regulator are used to construct a fuzzy attractive domain, in which a global solution is obtained so as to achieve the desired stability condition of the closed-loop system. In the control of chaotic systems, we use two-phases of control, first phase uses an open-loop control with inherent chaotic features of the system itself and a fuzzy model-based controller is employed under state feedback control in the second phase of control. The Henon map is employed to illustrate the above design procedure.

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Author information

Authors and Affiliations

  1. Dept. of Advanced Systems Control Engineering, Graduate School of Science and Engineering,  

    Keigo Watanabe & Kazuo Kiguchi

  2. Dept. of Mechanical Engineering (Production Division), Graduate School of Science and Engineering,  

    Lanka Udawatta

  3. Dept. of Mechanical Engineering, Faculty of Science and Engineering Saga University, 1-Honjomachi, Saga, 840-8502, Japan

    Kiyotaka Izumi

Authors
  1. Keigo Watanabe
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  2. Lanka Udawatta
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  3. Kazuo Kiguchi
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  4. Kiyotaka Izumi
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Editor information

Editors and Affiliations

  1. The International WIC Institute, Beijing University of Technology, China

    Ning Zhong

  2. Institute of Mathematics, Warsaw University, Banacha 2, 02-097, Warsaw, Poland

    Andrzej Skowron

  3. Professor Emeritus, University of Tokyo,  

    Setsuo Ohsuga

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© 1999 Springer-Verlag Berlin Heidelberg

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Watanabe, K., Udawatta, L., Kiguchi, K., Izumi, K. (1999). Control of Chaotic Systems Using Fuzzy Model-Based Regulators. In: Zhong, N., Skowron, A., Ohsuga, S. (eds) New Directions in Rough Sets, Data Mining, and Granular-Soft Computing. RSFDGrC 1999. Lecture Notes in Computer Science(), vol 1711. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-48061-7_30

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  • DOI: https://doi.org/10.1007/978-3-540-48061-7_30

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-66645-5

  • Online ISBN: 978-3-540-48061-7

  • eBook Packages: Springer Book Archive

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